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Popular Functions >

extreme ln(x^2+49)

Solution

extreme

Solution

Minimum (0, 2 ln (7))

Solution steps

f^{'} (x) = \frac{2 x}{x ^{2} + 49}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

ln (x^{2} + 49) : 2 ln (7)

Minimum (0, 2 ln (7))

Graph

Popular Examples

extreme f(x,y)=2xy-3x^3y^3

extreme f(x)=-x^3-9x^2+165x+1300

extreme f(x,y)=(x^2-1)(y^2-1)

extreme 2/3 x^3-4x^3+12

extreme f(x)=(4860)/x+15x+700508

Frequently Asked Questions (FAQ)

What is the extreme ln(x^2+49) ?
The extreme ln(x^2+49) is Minimum(0,2ln(7))